Finding the Fourth Proportional to 1,105.59, 1,658.31 and 411.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.59 : 1,658.31 = 411.99 : x
2. Step 2: Convert to fraction form
   1,105.59/1,658.31 = 411.99/x
3. Step 3: Cross multiply
   1,105.59x = 1,658.31 × 411.99
4. Step 4: Simplify right side
   1,105.59x = 683,198.85
5. Step 5: Solve for x
   x = 683,198.85/1,105.59
6. Step 6: Final answer
   x = 617.95